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Iterative Methods for Optimization

Iterative Methods for Optimization Author C. T. Kelley
ISBN-10 161197092X
Release 1999
Pages 180
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This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke-Jeeves, implicit filtering, MDS, and Nelder-Mead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages.



Iterative Methods for Linear and Nonlinear Equations

Iterative Methods for Linear and Nonlinear Equations Author C. T. Kelley
ISBN-10 9780898713527
Release 1995-01-01
Pages 166
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Mathematics of Computing -- Numerical Analysis.



Iterative Methods for Solving Linear Systems

Iterative Methods for Solving Linear Systems Author Anne Greenbaum
ISBN-10 9780898713961
Release 1997-01-01
Pages 220
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Mathematics of Computing -- Numerical Analysis.



Optimization Software Guide

Optimization Software Guide Author Jorge J. More
ISBN-10 9780898713220
Release 1993-01-01
Pages 154
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Mathematics of Computing -- Numerical Analysis.



The Immersed Interface Method

The Immersed Interface Method Author Zhilin Li
ISBN-10 0898717469
Release 2006
Pages 332
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This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.



Computational Methods for Option Pricing

Computational Methods for Option Pricing Author Yves Achdou
ISBN-10 9780898715736
Release 2005-07-18
Pages 297
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This book allows you to understand fully the modern tools of numerical analysis in finance.



Computational Methods for Inverse Problems

Computational Methods for Inverse Problems Author Curtis R. Vogel
ISBN-10 9780898717570
Release 2002
Pages 183
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Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.



FAIR

FAIR Author Jan Modersitzki
ISBN-10 9780898718843
Release 2009
Pages 189
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Whenever images taken at different times, from different viewpoints, and/or by different sensors need to be compared, merged, or integrated, image registration is required. Registration, also known as alignment, fusion, or warping, is the process of transforming data into a common reference frame. This book provides an overview of state-of-the-art registration techniques from theory to practice, numerous exercises, and via a supplementary Web page, free access to FAIR.m, a package that is based on the MATLAB software environment.



A Panorama of Mathematics Pure and Applied

A Panorama of Mathematics  Pure and Applied Author Carlos M. da Fonseca
ISBN-10 9781470416683
Release 2016-02-26
Pages 279
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This volume contains the proceedings of the Conference on Mathematics and its Applications-2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpufThis volume contains the proceedings of the Conference on Mathematics and its Applications–2014, held from November 14–17, 2014, at Kuwait University, Safat, Kuwait. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpuf



Solving Nonlinear Equations with Newton s Method

Solving Nonlinear Equations with Newton s Method Author C. T. Kelley
ISBN-10 0898718899
Release 2003
Pages 104
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This book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others. It contains trouble-shooting guides to the major algorithms, their most common failure modes, and the likely causes of failure. It also includes many worked-out examples (available on the SIAM website) in pseudocode and a collection of MATLAB codes, allowing readers to experiment with the algorithms easily and implement them in other languages.



Mathematical Modeling in Optical Science

Mathematical Modeling in Optical Science Author Gang Bao
ISBN-10 9780898714753
Release 2001-01-01
Pages 334
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This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.



First Order Methods in Optimization

First Order Methods in Optimization Author Amir Beck
ISBN-10 9781611974980
Release 2017-10-02
Pages 484
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The primary goal of this book is to provide a self-contained, comprehensive study of the main ?rst-order methods that are frequently used in solving large-scale problems. First-order methods exploit information on values and gradients/subgradients (but not Hessians) of the functions composing the model under consideration. With the increase in the number of applications that can be modeled as large or even huge-scale optimization problems, there has been a revived interest in using simple methods that require low iteration cost as well as low memory storage. The author has gathered, reorganized, and synthesized (in a unified manner) many results that are currently scattered throughout the literature, many of which cannot be typically found in optimization books. First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both variables and functional decomposition methods.



Handbook for Matrix Computations

Handbook for Matrix Computations Author Thomas F. Coleman
ISBN-10 1611971047
Release 1988
Pages 264
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Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and "hands on" experience.



Multigrid Methods

Multigrid Methods Author Stephen F. McCormick
ISBN-10 9781611971057
Release 1987-12-01
Pages 282
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A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.



Identification of Continuous time Models from Sampled Data

Identification of Continuous time Models from Sampled Data Author Hugues Garnier
ISBN-10 1848001614
Release 2008-03-13
Pages 413
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This is the first book dedicated to direct continuous-time model identification for 15 years. It cuts down on time spent hunting through journals by providing an overview of much recent research in an increasingly busy field. The CONTSID toolbox discussed in the final chapter gives an overview of developments and practical examples in which MATLAB® can be used for direct time-domain identification of continuous-time systems. This is a valuable reference for a broad audience.



Design Sensitivity Analysis

Design Sensitivity Analysis Author Lisa G. Stanley
ISBN-10 9780898715248
Release 2002-01-01
Pages 139
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Illustrates some of the important issues inherent in using the sensitivity equation method for PDEs.



Frontiers and Prospects of Contemporary Applied Mathematics

Frontiers and Prospects of Contemporary Applied Mathematics Author
ISBN-10 9789814478519
Release
Pages
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Frontiers and Prospects of Contemporary Applied Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Frontiers and Prospects of Contemporary Applied Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Frontiers and Prospects of Contemporary Applied Mathematics book for free.